Search a number
-
+
6140672 = 2817283
BaseRepresentation
bin10111011011001100000000
3102112222102022
4113123030000
53033000142
6335341012
7103123556
oct27331400
912488368
106140672
11351463a
122081768
131370045
14b5bbd6
158146d2
hex5db300

6140672 has 54 divisors (see below), whose sum is σ = 13177668. Its totient is φ = 2854912.

The previous prime is 6140671. The next prime is 6140707. The reversal of 6140672 is 2760416.

It is a super-3 number, since 3×61406723 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (6140671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73943 + ... + 74025.

Almost surely, 26140672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588834).

6140672 is an abundant number, since it is smaller than the sum of its proper divisors (7036996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6140672 is an equidigital number, since it uses as much as digits as its factorization.

6140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 6140672 is about 2478.0379335272. The cubic root of 6140672 is about 183.1212033133.

The spelling of 6140672 in words is "six million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 83 128 136 166 256 272 289 332 544 578 664 1088 1156 1328 1411 2176 2312 2656 2822 4352 4624 5312 5644 9248 10624 11288 18496 21248 22576 23987 36992 45152 47974 73984 90304 95948 180608 191896 361216 383792 767584 1535168 3070336 6140672